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NeX [460]
3 years ago
5

Find the slope and y-intercept of the following equation: Y = ¾ x - ½

Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answers:

Slope = 3/4

y intercept = -1/2

================================================

Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

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Answer:

3.42

Step-by-step explanation:

6 0
3 years ago
Charlie just bought 8 bags of 14 cookies each. He already had 9 cookies in a jar. How many cookies does Charlie have now?
lana [24]

Answer:

he has 121 cookies now

Step-by-step explanation:

8 times 14 plus 9

8 times 14 = 112 + 9 = 121

8 0
2 years ago
Read 2 more answers
A random sample of 64 observations produced a mean value of 84 and standard deviation of 5.5. The 90% confidence interval for th
ASHA 777 [7]

Answer:  The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

Step-by-step explanation:

When population standard deviation is not given ,The confidence interval population proportion is given by (\mu ):-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

, where n= Sample size.

s= Sample standard deviation

\overline{x} = sample mean

t* = Critical t-value (Two-tailed)

As per given , we have

\overline{x}=84

n= 64

Degree of freedom : df = n-1=63  

s= 5.5

Significance level : \alpha=1-0.90=0.1

Two-tailed T-value for df = 63 and  \alpha=1-0.90=0.1 would be

t_{\alpha/2,df}=t_{0.05,63}=1.669  (By t-distribution table)

i.e. t*= 1.669

The 90% confidence interval for the population mean μ would be

84\pm (1.669)\dfrac{5.5}{\sqrt{64}}

=84\pm (1.669)\dfrac{5.5}{8}

\approx84\pm 1.15

=(84-1.15,\ 84+1.15)=(82.85,\ 85.15)

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

6 0
3 years ago
Angle RZT=110<br> Angle RZS=3s<br> Angle TZS=8s<br> What are angles RZS and TZS?
nekit [7.7K]
Angles RZT, RZS, and TZS form triangle RZT, so they sum to 180.  Thus, we have:

110+3s+8s=180

Simplifying, we have:

11s=70

Dividing by 11, we see that:

s=70/11

Therefore, RZS=3s=210/11, and TZS=8s=560/11.
6 0
2 years ago
on Sunday yassif swam 15 2/5 miles in 2.1 hours. What was Yassifs swimming pace in miles per hour? SHOW YOUR WORK
Igoryamba

Change the first to a decimal

15 2/5 = 15 4/10 = 15.4 miles

15.4 miles

------------

2.1 hours

7.33333333(repeating) miles/hour

7 1/3 miles per hour

5 0
3 years ago
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